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Finding the Fourth Proportional to 10,402, 15,593.73 and 3,826.60

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Solution

The fourth proportional to 10,402, 15,593.73 and 3,826.60 is: 5,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402 : 15,593.73 = 3,826.60 : x
  2. Step 2: Convert to fraction form
    10,402/15,593.73 = 3,826.60/x
  3. Step 3: Cross multiply
    10,402x = 15,593.73 × 3,826.60
  4. Step 4: Simplify right side
    10,402x = 59,670,967.22
  5. Step 5: Solve for x
    x = 59,670,967.22/10,402
  6. Step 6: Final answer
    x = 5,736.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.